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Finding the Third Proportional to 301,596.75 and 649,530.56

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Solution

The third proportional to 301,596.75 and 649,530.56 is: 1,398,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,596.75 : 649,530.56 = 649,530.56 : x
  2. Step 2: Convert to fraction form
    301,596.75/649,530.56 = 649,530.56/x
  3. Step 3: Cross multiply
    301,596.75x = 649,530.56 × 649,530.56
  4. Step 4: Simplify right side
    301,596.75x = 421,889,951,621.57
  5. Step 5: Solve for x
    x = 421,889,951,621.57/301,596.75
  6. Step 6: Final answer
    x = 1,398,854.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.